PhD - | University of California, Los Angeles |
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**Research Interests**

- Computational Science
- Numerical PDEs
- Maxwell solvers in complex media in time and frequency domain
- Photonics Numerical Inversion of the Laplace transform with applications
- Weeks Method for the Matrix Exponential Weeks Method
- Cayley-Hamilton Theorem Mathematica Notebooks for the Matrix Exponential Notebooks

**Teaching**

- Computational Photonics
- Numerical PDEs
- Book: Numerical Time-Dependent Partial Differential Equations for Scientists and Engineers, Volume 213 (Mathematics in Science and Engineering)
- UA VIGRE: Arizona Summer Program 2009

- Dr. Patrick Kano (Patrick_O_Kano@Raytheon.com)
- Prof. Jerome Moloney (jml@acms.arizona.edu)
- Prof. J. Liu (jliu@desu.edu)
- Dr. Delmar Barker (delmarbarker@yahoo.com)
- Prof. Miroslav Kolesik (kolesik@acms.arizona.edu)

**Selected Publications**

- "Application of Post's formula to optical pulse propagation in dispersive media", with P. Kano, Computers and Mathematics Applications, 59 (2010), pp. 629-50.
- " Generalization of the FDTD Algorithm for Simulations of Hydrodynamic Nonlinear Drude Model" with J. Liu, Y. Zeng, A. R. Zakharian, W. Hoyer and J. V. Moloney, J. Comput. Phys., 229 (2010), pp. 5921-32
- " Overlapping Yee FDTD method on nonorthogonal grids" with J.-J. Liu, and J. V. Moloney, J. Sci. Comput., 39 (2009), pp.129-49.
- " Accurate calculation of the density of states of a photonic crystal with an analytic dispersion relation" with P. O. Kano and D. Barker, J. Phys. D: Applied Physics, 41 (2008) pp. 185106-27
- " Numerical analysis of ab initio computation of the effects of ionization on the nonlinear susceptibility coefficients of the hydrogen atom" with P. Kano and J. M. Moloney, Comm. Math. Sci., 4 (2006), pp.53-80.
- " Applications of Weeks method for numerical conversion of the Laplace transform to the matrix exponential" with P. Kano and J. M. Moloney, Comm. Math. Sci., 3 (2005), pp.335-72.
- " Optimal parameter selection in Weeks' method for numerical Laplace transform inversion based on machine learning" with P. Kano and J. Bailey, Journal of Algorithms and Computational Technology, 15 (2021).

Email: **Moysey Brio**

This page was last updated on:

April 18, 2021